Taylor's frozen-flow hypothesis in Burgers turbulence

A. Bahraminasab; M. D. Niry; J. Davoudi; M. R R Tabar; A. A. Masoudi; K. R. Sreenivasan

doi:10.1103/PhysRevE.77.065302

Taylor's frozen-flow hypothesis in Burgers turbulence

A. Bahraminasab, M. D. Niry, J. Davoudi, M. R R Tabar, A. A. Masoudi, K. R. Sreenivasan

Research output: Contribution to journal › Article › peer-review

Abstract

By detailed analytical treatment of the shock dynamics in the Burgers turbulence with large scale forcing we calculate the velocity structure functions between pairs of points displaced both in time and space. Our analytical treatment verifies the so-called Taylor's frozen-flow hypothesis without relying on any closure and under very general assumptions. We discuss the limitation of the hypothesis and show that it is valid up to time scales smaller than the correlation time scale of temporal velocity correlation function. We support the analytical calculation by performing numerical simulation of the periodically kicked Burgers equation.

Original language	English (US)
Article number	065302
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	77
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.77.065302
State	Published - Jun 30 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.77.065302

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AU - Bahraminasab, A.

AU - Niry, M. D.

AU - Davoudi, J.

AU - Tabar, M. R R

AU - Masoudi, A. A.

AU - Sreenivasan, K. R.

PY - 2008/6/30

Y1 - 2008/6/30

N2 - By detailed analytical treatment of the shock dynamics in the Burgers turbulence with large scale forcing we calculate the velocity structure functions between pairs of points displaced both in time and space. Our analytical treatment verifies the so-called Taylor's frozen-flow hypothesis without relying on any closure and under very general assumptions. We discuss the limitation of the hypothesis and show that it is valid up to time scales smaller than the correlation time scale of temporal velocity correlation function. We support the analytical calculation by performing numerical simulation of the periodically kicked Burgers equation.

AB - By detailed analytical treatment of the shock dynamics in the Burgers turbulence with large scale forcing we calculate the velocity structure functions between pairs of points displaced both in time and space. Our analytical treatment verifies the so-called Taylor's frozen-flow hypothesis without relying on any closure and under very general assumptions. We discuss the limitation of the hypothesis and show that it is valid up to time scales smaller than the correlation time scale of temporal velocity correlation function. We support the analytical calculation by performing numerical simulation of the periodically kicked Burgers equation.

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ER -

Taylor's frozen-flow hypothesis in Burgers turbulence

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